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NNADVOKAT [17]
1 year ago
15

The sum of one–half a number and two-thirds the number is equal to twenty-five less than twice the number.

Mathematics
1 answer:
Savatey [412]1 year ago
4 0

Answer: \frac{1}{2}x + \frac{2}{3}x = 2x - 25

Step-by-step explanation:

First, let's analyze the phrase "the sum of one-half and two-thirds the number". This would translate to:

\frac{1}{2}x + \frac{2}{3}x

Then it says the last part of the expression is "twenty five less than twice the number"

2x - 25

Then, equal the two parts of the equation to each other.

\frac{1}{2}x + \frac{2}{3}x = 2x - 25

Hope this helps! :)

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The list price of a refrigerator is $1899. The chain discount is 20/15. What is the final net price?
shusha [124]
1st = 100% - 20% = 80%
2nd= 100%-15% = 85%

Net Price Factor = 0.8 x 0.85 = 0.68

Net Price = $1899 x 0.68

Final Net Price = $1,291.32

Total Discount= $1899 - 1,291.32 = $607.68


5 0
3 years ago
Use the drawing tool(s) to form the correct answer on the provided graph.
AlekseyPX

The solutions to the system of equations are (-2,-6) and (4,6)

<h3>How to determine the system of equations?</h3>

We have:

-2x + y = -2

y = -\frac12x^2 + 3x + 2

Next, we plot the graph of both functions.

From the attached graph, the equations intersect at (-2,-6) and (4,6)

Hence, the solutions to the system of equations are (-2,-6) and (4,6)

Read more about system of equations at:

brainly.com/question/21405634

#SPJ1

5 0
2 years ago
Help Please I did to finsh
ki77a [65]

Step-by-step explanation:

Hello there!

Again, plug this into the Pythagorean Theorem.

a^2+b^2=c^2\\2^2+b^2=6^2\\4+b^2=36\\b^2=32\\b=5.65

:)

7 0
3 years ago
Read 2 more answers
A manufacturing company with 450 employees begins a new product line and must increase their numbers of employees by 18%. How ma
pogonyaev

You are adding 18%, which makes it 118% of original employees

Times 450 by 1.18 = 531

6 0
3 years ago
As part of a drug trial, a survey was done to gather information about the participants' experiences with side effects. Here are
Paraphin [41]

The Venn diagram which represents the distribution of the participant in the drug trial is attached below. The Number of participants in the drug trial that has anxiety is 370

We can find the number of participants who has dizziness(D). Fatigue(F) and anxiety(A) can be calculated thus :

n(D) = n(D only) + (DnF only) + (DnA only) + (DnAnF)

271 = 36 + 86 + 23 + x

271 = 145 + x

x = 271 - 145

x = 126

  • n(DnAnF) = 126

<u>Number who has </u><u>atleast one of the three</u><u> side effects can be expressed thus</u> :

n(A only) + n(F only) + n(D only) + (DnF only) + (DnA only) + (DnAnF) + n(FnA only) = 585

36 + 23 + 62 + 86 + 126 + 93 + n(FnA) only = 585

  • n(FnA only) = 585 - 426 = 159

<u>Number of participants</u><u> who has </u><u>anxiety</u><u> can be calculated thus</u> :

n(DnAnF) + (DnA only) + n(FnA only) + n(A only)

126 + 23 + 159 + 62 = 370 participants

Therefore, 370 of the total participants has Anxiety.

Learn more : brainly.com/question/12570490

8 0
2 years ago
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